Question

Create a function that takes in values of a random variable, x, and corresponding probabilities, f. Then it creates a probability distribution table with columns for calculations of the expected value and variance with the appropriate labels. The table should have the sums at the bottom, which for two of the columns are the expected value and variance.

Answer 1

The random variable X represents the number of days the men's soccer team plays soccer per week. X can take on the values 0, 1, and 2. The distribution of X is given by a table with x and P(x) columns.

Step-by-step explanation:

a. In words, define the random variable X: The random variable X represents the number of days the men's soccer team plays soccer per week.

b. List the values that X may take on: X can take on the values 0, 1, and 2.

c. Give the distribution of X: The distribution of X is as follows:

x: 0 1 2

P(x): f g h

Where f, g, and h represent the corresponding probabilities of each value.